Q.13:- A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily…

Q.13:- A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily…

Q.12:- Rain is falling vertically with a speed of 30 m s-1. A woman rides a bicycle with a speed of 10 m s-1 in the north to south direction. What…

Q.11:- A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman…

Q.10:- On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, specify the…

Q.9:- A cyclist starts from the centre Oof a circular park of radius 1 km, reaches the edge Pof the park, then cycles along the circumference, and returns to the centre…

Q.8:- Three girls skating on a circular ice ground of radius 200 m start from a point Pon the edge of the ground and reach a point Qdiametrically opposite to Pfollowing…

Q.7:- Given vectors a + b + c + d = 0, which of the following statements are correct: (a) Vectors a, b, c, and d must each be a null…

Q.6:- Establish the following vector inequalities geometrically or otherwise: (a) |a + b| ≤ |a| + |b| (b) |a + b| ≥ ||a| − |b|| (c) |a − b| ≤ |a|…

Q.5:- Read each statement below carefully and state with reasons, if it is true or false: (a) The magnitude of a vector is always a scalar, (b) each component of a…

Q.4:- State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful: (a) adding any two scalars, (b) adding a scalar to a vector of the…